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A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins are normal. A coin is chosen at random from the bag and tossed 2 times. The number of heads obtained is a random variable, say X. (a) What are the possible values of X? Also tabulate the pmf of X. (b) Calculate E(X) and Var(X).

A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins are normal. A coin is chosen at random from the bag and tossed 2 times. The number of heads obtained is a random variable, say X. (a) What are the possible values of X? Also tabulate the pmf of X. (b) Calculate E(X) and Var(X).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins are normal. A coin is chosen at random from the bag and tossed 2 times. The number of heads obtained is a random variable, say X. (a) What are the possible values of X? Also tabulate the pmf of X. (b) Calculate E(X) and Var(X).
Transcribed Image Text:A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins are normal. A coin is chosen at random from the bag and tossed 2 times. The number of heads obtained is a random variable, say X. (a) What are the possible values of X? Also tabulate the pmf of X. (b) Calculate E(X) and Var(X).
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